Efficient Simulation of Incompressible Viscous Flows on Parallel Computers
A parallel multigrid method for the prediction of laminar and turbulent flows in complex geometries is described. Geometrical complexity is handled by a block structuring technique, which also constitutes the base for the parallelization of the method by grid partitioning. Automatic load balancing is implemented through a special mapping procedure. High numerical efficiency is obtained by a global nonlinear multigrid method with a pressure-correction smoother also ensuring only slight deteriotation of the convergence rate with increasing processor numbers. By various numerical experiments the method is investigated with respect to its numerical and parallel efficiency. The results illustrate that the high performance of the underlying sequential multigrid algorithm can be largely retained in the parallel implementation and that the proposed method is well suited for solving complex flow problems on parallel computers with high efficiency.
KeywordsCoarse Grid Multigrid Method Grid Level Multi Grid Method Grid Partitioning
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- B. Basara, F. Durst, and M. Schäfer. A Parallel Multigrid Method for the Prediction of Turbulent Flows with Reynolds Stress Closure. In Parallel Computational Fluid Dynamics 95, Elsevier, Amsterdam, 1996, in press.Google Scholar
- U. Bückle, Y. Katoh, M. Schäfer, K. Suzuki, and K. Takashiba. The Application of Modern Numerical Tools to the Investigation of Transport Phenomena Related to Czochralski Crystal Growth Processes. In Proc. Int. Symp. on Heat and Mass Transfer, Kyoto, 1994.Google Scholar
- M. Hortmann, M. Pophal, M. Schäfer, and K. Wechsler. Computation of Heat Transfer with Methods of High Performance Scientific Computing. In B. Hertzberger and G. Serazzi, editors, High-Performance Computing and Networking, V. 919 of Lecture Notes in Computer Science, pp. 293–299, Springer, Berlin, 1995.CrossRefGoogle Scholar
- M. Hortmann and M. Schäfer. Numerical prediction of laminar flow in plane, bifurcating channels. Comput. Fluid Mech., 2:65–82, 1994.Google Scholar
- Ž. Lilek, M. Perić, and V. Seidl. Development and Application of a Finite Volume Method for the Prediction of Complex Flows. In this publication.Google Scholar
- M. Peric. A Finite Volume Method for the Prediction of Three-Dimensional Fluid Flow in Complex Ducts. PhD Thesis, University of London, 1985.Google Scholar
- M. Schäfer, E. Schreck, and K. Wechsler. An Efficient Parallel Solution Technique for the Incompressible Navier-Stokes Equations. In F.-K. Hebeker, R. Rannacher, and G. Wittum, editors, Numerical Methods for the Navier-Stokes Equations, V. 47 of Notes on Numerical Fluid Mechanics, pp. 228–238, Vieweg, Braunschweig, 1994.Google Scholar
- M. Schäfer and S. Turek. Benchmark Computations of Laminar Flow Around a Cylinder. In this publication.Google Scholar
- K. Wechsler, I. Rangelow, Z. Borkowicz, F. Durst, L. Kadinski, and M. Schäfer. Experimental and Numerical Study of the Effects of Neutral Transport and Chemical Kinetics on Plasma Etching System CF4/Si. In Proc. Int. Symp. Plasma Etching, pp. 909–914, 1993.Google Scholar
- D. Wilcox. Turbulence Modeling for CFD. DCW Industries, La Canada, 1993.Google Scholar